Optimal capacity of graded-response perceptrons: a replica-symmetry-breaking solution

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Published under licence by IOP Publishing Ltd
, , Citation D Bollé and R Erichsen Jr 1996 J. Phys. A: Math. Gen. 29 2299 DOI 10.1088/0305-4470/29/10/010

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1 Instituut voor Theoretische Fysica, KU Leuven, B-3001 Leuven, Belgium

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  1. Received 27 November 1995

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0305-4470/29/10/2299

Abstract

Optimal capacities of perceptrons with graded input - output relations are studied within the first-step replica-symmetry-breaking Gardner approach. Input-data errors and a limited output precision are allowed. In particular, the role of non-monotonicity in the input - output relations on the breaking and on the overall performance is determined.

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